Design of M-Channel IIR Uniform DFT Filter Banks Using Recursive Digital Filters

ETRI Journal

关键词: computational complexity;    oversampled;    critically sampled;    polyphase;    causal and stable;    prototype filter;    FIR filter;    IIR filter;    perfect reconstruction;    DFT filter bank;   

Others  :  1184748
DOI  :  10.4218/etrij.03.0102.0501

【 摘 要 】

In this paper, we propose a method for designing a class of M-channel, causal, stable, perfect reconstruction, infinite impulse response (IIR), and parallel uniform discrete Fourier transform (DFT) filter banks. It is based on a previously proposed structure by Martinez et al. [1] for IIR digital filter design for sampling rate reduction. The proposed filter bank has a modular structure and is therefore very well suited for VLSI implementation. Moreover, the current structure is more efficient in terms of computational complexity than the most general IIR DFT filter bank, and this results in a reduced computational complexity by more than 50% in both the critically sampled and oversampled cases. In the polyphase oversampled DFT filter bank case, we get flexible stop-band attenuation, which is also taken care of in the proposed algorithm.

   

【 参考文献 】

• [1]H.G. Martinez and T.W. Parks, "A Class of Infinite-Duration Impulse Response Digital Filter Sampling Rate Reduction", IEEE Trans. Acoust., Speech, Signal Proc., vol. ASSP-27, no.4, Apr. 1979, pp.154-162.
• [2]P.P. Vaidyanathan, Multirate Systems and Filter Banks, Englewood Cliffs, NJ: Prentice- Hall, 1993.
• [3]S.C. Chan, J.S. Muo, and K.L. Ho, "A New Design Method for Two-Channel Perfect Reconstruction IIR Filter Banks", IEEE Signal Proc. Letters, vol.7, no.8, Aug. 2000, pp.221-223.
• [4]S.M. Phoong, C.W. Kim, P.P. Vaidyanathan, and R. Ansari, "A New Class of Two Channel Biothogonal Filter Banks and Wavelet Bases", IEEE Trans. Signal Proc., vol. 43, no.3, Mar. 1995, pp.649-664.
• [5]X. Zhang and T. Yoshikwa, "Design of Two-channel Stable IIR Perfect Reconstruction Filter Banks", IEICE Trans. Fundamentals, vol. E81-A, no.8, Aug. 1998, pp.1592-1597.
• [6]D.B.H. Tay, "Design of Causal Stable IIR Perfect Reconstruction Filter Banks Using Transfomation in Variables", Proc. IEEE. Int. Symp. Circuits and Syst., vol. 4, 1997, pp. 2425-2427.
• [7]A. Klouche-Djedid, "Design of Stable, Causal, Perfect Reconstruction, IIR Uniform DFT Filter Banks", IEEE Trans. Signal Proc., vol.48, no.4, Apr. 2000, pp. 1110-1119.
• [8]R. Crochiere and L. Rabiner, Multirate Digital Signal Processing, Englewood Cliffs, NJ: Prentice-Hall, Chapter 7, 1983.
• [9]K. Swaminathan and P.P. Vaidyanathan, "Theory and Design of Uniform DFT, Parallel, Quadrature Mirror Filter Banks", IEEE Trans. On Circuits and Systems, vol. CAS-33, no.12, Dec.1986, pp. 1170-1190.
• [10]H. Bolcskei, F. Hlawatsch, and H. G. Feichtinger, "Oversampled FIR and IIR DFT Filter Banks and Weyl-Heisenberg Frames", Proc IEEE Int. Conf. Acoust., Speech, Signal Proc., vol. 3, May 1996, pp.1391-1394.
• [11]Z. Cvetkovic and M. Vetterli, "Tight Weyl-Heisenberg Frames in l2(z)", IEEE Trans. Signal Proc., vol. 46, no.5, May 1998, pp. 1256-1259.
• [12]H.G. Martinez and T.W. Parks, "Design of Recursive Digital Filters with Optimum Magnitude and Attenuation Poles on the Unit Circle", IEEE Trans. Acoust., Speech, Signal Proc., vol. ASSP-26, no.2, Apr. 1978, pp.150-157.